| Issue |
ESAIM: M2AN
Volume 36, Number 4, July/August 2002
|
|
|---|---|---|
| Page(s) | 705 - 724 | |
| DOI | https://doi.org/10.1051/m2an:2002031 | |
| Published online | 15 September 2002 | |
Finite volume methods for convection-diffusion equations with right-hand side in H-1
1
UMPA, ENS Lyon, 46 allée d'Italie,
69364 Lyon cedex 07, France. jdroniou@umpa.ens-lyon.fr.
2
Université de Provence, CMI, Technopôle de Château Gombert, 39 rue F. Joliot Curie, 13453 Marseille Cedex 13, France. gallouet@cmi.univ-mrs.fr.
Received:
15
November
2001
Revised:
4
April
2002
We prove the convergence of a finite volume method for a noncoercive linear elliptic problem, with right-hand side in the dual space of the natural energy space of the problem.
Mathematics Subject Classification: 65N12 / 65N30
Key words: Finite volumes / convection-diffusion equations / noncoercivity / non-regular data.
© EDP Sciences, SMAI, 2002
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